The angle of banking for a cyclist taking a turn at a curve is given by tan$\mathrm{\theta } = \frac{{\mathrm{v}}^{\mathrm{n}}}{\mathrm{rg}}$ where symbols have their usual meaning. The value of n is:

1. 1

2. 2

3. 3

4. 4

A car of mass 1000 kg negotiates a banked curve of radius 90 m on a frictionless road. If the banking angle is 45^o, the speed of the car is:

1. 20 ms^-1

2. 30 ms^-1

3. 5 ms^-1

4. 10 ms^-1

The banking angle for a curved road of radius 490 m for a vehicle moving at 35 $m{s}^{-1} i\mathrm{s:}$

1. ${\tan }^{-1}(0.25)$

2. ${\tan }^{-1}(0.55)$

3. ${\tan }^{-1}(0.45)$

4. ${\tan }^{-1}(0.75)$

A car is moving in a circular horizontal track of radius 10 m with a constant speed of 10 m/sec. A plumb bob is suspended from the roof of the car by a light rigid rod of length 1.00 m. The angle formed by the rod with respect to the vertical is:

1. Zero

2. 30°

3. 45°

4. 60°